• Corpus ID: 226307011

Invariance properties of random curves: an approach based on integral geometry

@article{Mazzolo2020InvariancePO,
  title={Invariance properties of random curves: an approach based on integral geometry},
  author={Alain Mazzolo},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
  • A. Mazzolo
  • Published 12 November 2020
  • Mathematics
  • arXiv: Mathematical Physics
Traveled lengths statistic is a key quantity for characterizing stochastic processes in bounded domains. For straight lines and diffusive random walks, the average length of the trajectories through the domain is independent of the random walk characteristics and depends only on the ratio of the volume domain over its surface, a behavior that has been recently observed experimentally for exponential jump processes. In this article, based solely on geometrical concepts, we extend this remarkable… 
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